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10 January, 07:15

Radium-226 is a metal with a half-life of 1600 years. If you start with 1 kilogram of radium-226, how much will remain after 20,000 years?

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  1. 10 January, 09:02
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    Ending Amount = Beginning Amount / 2^n

    where 'n' = # of half lives

    n = 20,000 / 1,600 = 12.5 half-lives

    Ending Amount = 1 kg / 2^12.5

    Ending Amount = 1 kg / 5,792.6

    Ending Amount = 0.00017263 kilograms = 0.17263 grams
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